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Finding the Fourth Proportional to 496.54, 685.48 and 385.76

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Solution

The fourth proportional to 496.54, 685.48 and 385.76 is: 532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.54 : 685.48 = 385.76 : x
  2. Step 2: Convert to fraction form
    496.54/685.48 = 385.76/x
  3. Step 3: Cross multiply
    496.54x = 685.48 × 385.76
  4. Step 4: Simplify right side
    496.54x = 264,430.76
  5. Step 5: Solve for x
    x = 264,430.76/496.54
  6. Step 6: Final answer
    x = 532.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.